Rack, Heinz-Joachim; Vajda, Robert An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots. (English) Zbl 1487.41006 Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 37-60 (2021). MSC: 41A10 14Q05 68W30 41A50 PDF BibTeX XML Cite \textit{H.-J. Rack} and \textit{R. Vajda}, Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 37--60 (2021; Zbl 1487.41006) Full Text: Link
Pasko, A. M. The pointwise estimation of the one-sided approximation of the class \(\breve{W}_\infty^r\), \(0 < r < 1\). (English) Zbl 1490.41003 Res. Math. 28, No. 1, 22-28 (2020). MSC: 41A10 41A29 PDF BibTeX XML Cite \textit{A. M. Pasko}, Res. Math. 28, No. 1, 22--28 (2020; Zbl 1490.41003) Full Text: DOI
Rack, Heinz-Joachim; Vajda, Robert Explicit algebraic solution of Zolotarev’s first problem for low-degree polynomials. (English) Zbl 1463.41016 J. Numer. Anal. Approx. Theory 48, No. 2, 175-201 (2019). MSC: 41A10 41A29 41A50 PDF BibTeX XML Cite \textit{H.-J. Rack} and \textit{R. Vajda}, J. Numer. Anal. Approx. Theory 48, No. 2, 175--201 (2019; Zbl 1463.41016)
Kolomoitsev, Yurii Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\). (English) Zbl 1400.41007 J. Approx. Theory 232, 12-42 (2018). Reviewer: Aurelian Bejancu (Safat) MSC: 41A10 41A15 41A17 41A25 41A28 PDF BibTeX XML Cite \textit{Y. Kolomoitsev}, J. Approx. Theory 232, 12--42 (2018; Zbl 1400.41007) Full Text: DOI arXiv
Sedunova, V. V. Best one-sided approximation for the class of differentiable functions by algebraic polynomials in the mean. (English. Ukrainian original) Zbl 1499.41014 Ukr. Math. J. 69, No. 2, 255-268 (2017); translation from Ukr. Mat. Zh. 69, No. 2, 215-227 (2017). MSC: 41A10 PDF BibTeX XML Cite \textit{V. V. Sedunova}, Ukr. Math. J. 69, No. 2, 255--268 (2017; Zbl 1499.41014); translation from Ukr. Mat. Zh. 69, No. 2, 215--227 (2017) Full Text: DOI
Nitiema, Pierre Clovis; Ouedraogo, Jean Etienne; Bere, Frederic On function classes of stable distributions and their applications. (English) Zbl 1388.41003 Far East J. Appl. Math. 97, No. 2-3, 59-74 (2017). MSC: 41A10 60G52 PDF BibTeX XML Cite \textit{P. C. Nitiema} et al., Far East J. Appl. Math. 97, No. 2--3, 59--74 (2017; Zbl 1388.41003) Full Text: DOI
Cuenya, Héctor H.; Ferreyra, David E.; Ridolfi, Claudia V. An extension of best \(L^2\) local approximation. (English) Zbl 1386.41009 Rev. Unión Mat. Argent. 58, No. 2, 331-342 (2017). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{H. H. Cuenya} et al., Rev. Unión Mat. Argent. 58, No. 2, 331--342 (2017; Zbl 1386.41009) Full Text: Link
Nitiema, Pierre Clovis; Barro, Diakarya; Bere, Frederic; Ouedraogo, Jean Etienne On the best quadrature formula with weight function. (English) Zbl 1358.41027 Far East J. Appl. Math. 95, No. 5, 373-385 (2016). MSC: 41A55 41A10 PDF BibTeX XML Cite \textit{P. C. Nitiema} et al., Far East J. Appl. Math. 95, No. 5, 373--385 (2016; Zbl 1358.41027) Full Text: DOI
Cuenya, H. H.; Ferreyra, D. E.; Ridolfi, C. V. Best \(L^{2}\) local approximation on two small intervals. (English) Zbl 1337.41015 Numer. Funct. Anal. Optim. 37, No. 2, 145-158 (2016). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{H. H. Cuenya} et al., Numer. Funct. Anal. Optim. 37, No. 2, 145--158 (2016; Zbl 1337.41015) Full Text: DOI
Xie, Linsen; Lu, Wenxiu; Zhang, Li A note on neural networks for optimal approximation of continuous functions in \(\mathbb{R}^d\). (English) Zbl 1313.41064 J. Nanjing Univ., Math. Biq. 30, No. 1, 34-39 (2013). MSC: 41A50 41A10 92B20 PDF BibTeX XML Cite \textit{L. Xie} et al., J. Nanjing Univ., Math. Biq. 30, No. 1, 34--39 (2013; Zbl 1313.41064) Full Text: DOI
Cuenya, Héctor H.; Levis, Fabián E.; Ridolfi, Claudia V. Pólya-type polynomial inequalities in Orlicz spaces and best local approximation. (English) Zbl 1279.41012 J. Inequal. Appl. 2012, Paper No. 26, 10 p. (2012). MSC: 41A10 41A17 41A50 PDF BibTeX XML Cite \textit{H. H. Cuenya} et al., J. Inequal. Appl. 2012, Paper No. 26, 10 p. (2012; Zbl 1279.41012) Full Text: DOI
Berisha, N. Sh.; Berisha, F. M. Approximating classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials. (English) Zbl 1254.41016 Int. J. Math. Anal., Ruse 6, No. 53-56, 2709-2727 (2012). MSC: 41A35 41A50 42A16 PDF BibTeX XML Cite \textit{N. Sh. Berisha} and \textit{F. M. Berisha}, Int. J. Math. Anal., Ruse 6, No. 53--56, 2709--2727 (2012; Zbl 1254.41016) Full Text: arXiv Link
Rusev, Peter A note on S.N.Bernstein’s criterion for holomorphic extension of functions of a real variable. (English) Zbl 1265.30004 C. R. Acad. Bulg. Sci. 65, No. 4, 427-428 (2012). Reviewer: Petar Popivanov (Sofia) MSC: 30B40 33C45 PDF BibTeX XML Cite \textit{P. Rusev}, C. R. Acad. Bulg. Sci. 65, No. 4, 427--428 (2012; Zbl 1265.30004)
Mironenko, A. V. On the Jackson-Stechkin inequality for algebraic polynomials. (English. Russian original) Zbl 1232.41013 Proc. Steklov Inst. Math. 273, Suppl. 1, 116-123 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A17 41A50 PDF BibTeX XML Cite \textit{A. V. Mironenko}, Proc. Steklov Inst. Math. 273, 116--123 (2011; Zbl 1232.41013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010) Full Text: DOI
Deikalova, M. V. Integral approximation of the characteristic function of a spherical cap by algebraic polynomials. (English. Russian original) Zbl 1242.41008 Proc. Steklov Inst. Math. 273, Suppl. 1, 74-85 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{M. V. Deikalova}, Proc. Steklov Inst. Math. 273, 74--85 (2011; Zbl 1242.41008); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010) Full Text: DOI
Nitiema, Pierre Clovis On the best one-sided approximation of functions in the mean. (English) Zbl 1216.41026 Far East J. Appl. Math. 49, No. 2, 139-150 (2010). MSC: 41A50 PDF BibTeX XML Cite \textit{P. C. Nitiema}, Far East J. Appl. Math. 49, No. 2, 139--150 (2010; Zbl 1216.41026) Full Text: Link
Motornyj, V. P.; Motornaya, O. V.; Nitiema, P. K. One-sided approximation of a step by algebraic polynomials in the mean. (Russian, English) Zbl 1224.41023 Ukr. Mat. Zh. 62, No. 3, 409-422 (2010); translation in Ukr. Math. J. 62, No. 3, 467-482 (2010). MSC: 41A10 PDF BibTeX XML Cite \textit{V. P. Motornyj} et al., Ukr. Mat. Zh. 62, No. 3, 409--422 (2010; Zbl 1224.41023); translation in Ukr. Math. J. 62, No. 3, 467--482 (2010) Full Text: DOI
Novak, Ya. V. A criterion of the existence of continuous derivatives for functions of the class \(L_p\) on a segment in terms of local approximations by the simplest fractions. (Ukrainian. English summary) Zbl 1199.41035 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2009, No. 5, 36-40 (2009). MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{Ya. V. Novak}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2009, No. 5, 36--40 (2009; Zbl 1199.41035)
Omarova, A. T.; Smailov, E. S. The order of growth of norm of derivatives of polynomials of the best approximation and analogue of P. L. Ulyanov’s theorem. (Russian. English summary) Zbl 1488.41076 Mat. Zh. 8, No. 4, 78-87 (2008). MSC: 41A50 41A10 42C10 PDF BibTeX XML Cite \textit{A. T. Omarova} and \textit{E. S. Smailov}, Mat. Zh. 8, No. 4, 78--87 (2008; Zbl 1488.41076)
Savchuk, V. V. Linear methods for approximation of some classes of holomorphic functions from the Bergman space. (Ukrainian, English) Zbl 1164.41312 Ukr. Mat. Zh. 60, No. 6, 783-795 (2008); translation in Ukr. Math. J. 60, No. 6, 910-926 (2008). MSC: 41A10 41A50 30E10 PDF BibTeX XML Cite \textit{V. V. Savchuk}, Ukr. Mat. Zh. 60, No. 6, 783--795 (2008; Zbl 1164.41312); translation in Ukr. Math. J. 60, No. 6, 910--926 (2008) Full Text: DOI
Potapov, M. K.; Berisha, F. M. On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order \(r\). (English. Russian original) Zbl 1178.41014 J. Math. Sci., New York 155, No. 1, 153-169 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 149-164 (2007). Reviewer: Gerlind Plonka (Duisburg) MSC: 41A30 41A50 PDF BibTeX XML Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, J. Math. Sci., New York 155, No. 1, 153--169 (2008; Zbl 1178.41014); translation from Sovrem. Mat., Fundam. Napravl. 25, 149--164 (2007) Full Text: DOI
Gal, Sorin G. Shape-preserving approximation by real and complex polynomials. (English) Zbl 1154.41002 Basel: Birkhäuser (ISBN 978-0-8176-4702-5/hbk). xiii, 352 p. (2008). Reviewer: Alexander Tovstolis (Donetsk) MSC: 41-02 41A05 41A10 41A17 41A28 41A29 41A35 41A36 41A44 41A50 41A63 PDF BibTeX XML Cite \textit{S. G. Gal}, Shape-preserving approximation by real and complex polynomials. Basel: Birkhäuser (2008; Zbl 1154.41002)
Yudin, V. A. On polynomials of best approximation. (English. Russian original) Zbl 1149.41010 Math. Notes 82, No. 4, 564-568 (2007); translation from Mat. Zametki 82, No. 4, 631-636 (2007). Reviewer: Jacek Gilewicz (Marseille) MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{V. A. Yudin}, Math. Notes 82, No. 4, 564--568 (2007; Zbl 1149.41010); translation from Mat. Zametki 82, No. 4, 631--636 (2007) Full Text: DOI
Motornyi, V. P.; Pas’ko, A. N. On the best one-sided approximation of some classes of differentiable functions in \(L_1\). (English) Zbl 1113.41009 East J. Approx. 10, No. 1-2, 159-169 (2004). Reviewer: Lozko B. Milev (Sofia) MSC: 41A10 42A10 41A50 PDF BibTeX XML Cite \textit{V. P. Motornyi} and \textit{A. N. Pas'ko}, East J. Approx. 10, No. 1--2, 159--169 (2004; Zbl 1113.41009)
Motornyj, V. P. Approximation of functions by algebraic polynomials with regard to the location of a point in the interval. (Russian) Zbl 1129.41301 Ukraïns’kyj matematychnyj kongres – 2001. Pratsi. Sektsiya 10. Teoriya nablyzhen’ ta garmonichnyj analiz. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2649-7). 140-153 (2002). MSC: 41A10 41-02 PDF BibTeX XML Cite \textit{V. P. Motornyj}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 10. Teoriya nablyzhen' ta garmonichnyj analiz. Kyïv: Instytut Matematyky NAN Ukraïny. 140--153 (2002; Zbl 1129.41301)
Berisha, M. Q.; Berisha, F. M. A note on the inverse theorem for a generalised modulus of smoothness. (English) Zbl 1274.42001 Mat. Bilt. 25, 91-96 (2001). MSC: 42A05 42A10 PDF BibTeX XML Cite \textit{M. Q. Berisha} and \textit{F. M. Berisha}, Mat. Bilt. 25, 91--96 (2001; Zbl 1274.42001) Full Text: arXiv
Trigub, R. M. Around K. Weierstrass approximation theorem. (Russian) Zbl 1006.42001 Dorogovtsev, A. Ya. (ed.), Mathematics today. 2001. A scientific-methodical collection. No. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï Osvity, 10-37 (2001). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 42A10 41A10 42A20 41A50 41A65 PDF BibTeX XML Cite \textit{R. M. Trigub}, in: Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï\ Osvity. 10--37 (2001; Zbl 1006.42001)
Motornyj, V. P. Approximation of functions by algebraic polynomials with regard to the location of a point in the interval. (Ukrainian. English summary) Zbl 0973.41003 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 3, 19-23 (2001). MSC: 41A10 PDF BibTeX XML Cite \textit{V. P. Motornyj}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 3, 19--23 (2001; Zbl 0973.41003)
Pawelke, S. Note on Jackson and Bernstein type approximation theorems in the case of approximation by algebraic polynomials in the spaces \(L\) and \(C\). (English) Zbl 1012.41009 Stud. Sci. Math. Hung. 36, No. 3-4, 353-358 (2000). MSC: 41A10 41A25 PDF BibTeX XML Cite \textit{S. Pawelke}, Stud. Sci. Math. Hung. 36, No. 3--4, 353--358 (2000; Zbl 1012.41009) Full Text: DOI
Kashpirovskyj, O. L.; Mytnyk, Yu. V. Operator approach to approximation of continuous on a segment function. (Ukrainian. English summary) Zbl 0976.41005 Nauk. Zap., Kyïv 18, 14-16 (2000). MSC: 41A10 PDF BibTeX XML Cite \textit{O. L. Kashpirovskyj} and \textit{Yu. V. Mytnyk}, Nauk. Zap., Kyïv 18, 14--16 (2000; Zbl 0976.41005)
Potapov, M. K. Polynomial approximation of functions defined on a finite interval of the real line. (Russian. English summary) Zbl 0980.41007 Fundam. Prikl. Mat. 6, No. 3, 859-871 (2000). Reviewer: Laszlo Leindler (Szeged) MSC: 41A10 41A17 PDF BibTeX XML Cite \textit{M. K. Potapov}, Fundam. Prikl. Mat. 6, No. 3, 859--871 (2000; Zbl 0980.41007) Full Text: Link
Abilov, V. A. On the best approximation of flexionary differentiable functions by algebraic polynomials. (English) Zbl 0983.41014 C. R. Acad. Bulg. Sci. 53, No. 5, 25-29 (2000). Reviewer: Angela Slavova (Sofia) MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{V. A. Abilov}, C. R. Acad. Bulg. Sci. 53, No. 5, 25--29 (2000; Zbl 0983.41014)
Kogan, A. M. On the best approximation of classes \(W^{r}H^{\omega}\) by algebraic polynomials in the space \(L_1\). (English. Russian original) Zbl 0980.41500 Ukr. Math. J. 51, No. 11, 1643-1655 (1999); translation from Ukr. Mat. Zh. 51, No. 11, 1456-1466 (1999). MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{A. M. Kogan}, Ukr. Mat. Zh. 51, No. 11, 1456--1466 (1999; Zbl 0980.41500); translation from Ukr. Mat. Zh. 51, No. 11, 1456--1466 (1999) Full Text: DOI
Nitiema, P. K. On best \(L_1\)-approximation of truncated powers by algebraic polynomials. (English. Russian original) Zbl 0938.41004 Ukr. Math. J. 50, No. 4, 673-679 (1998); translation from Ukr. Mat. Zh. 50, No. 4, 593-598 (1998). MSC: 41A10 PDF BibTeX XML Cite \textit{P. K. Nitiema}, Ukr. Mat. Zh. 50, No. 4, 593--598 (1998; Zbl 0938.41004); translation from Ukr. Mat. Zh. 50, No. 4, 593--598 (1998) Full Text: DOI
McInnes, Allan W. Best approximation by quadratic algebraic functions. (English) Zbl 0934.41004 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3-6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 247-254 (1998). Reviewer: Shi Ying-Guang (Beijing) MSC: 41A10 PDF BibTeX XML Cite \textit{A. W. McInnes}, in: Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 247--254 (1998; Zbl 0934.41004)
Bagdasarov, S. K. Maximization of functionals in \(H^\omega[a,b]\). (English. Russian original) Zbl 0914.47008 Sb. Math. 189, No. 2, 3-72 (1998); translation from Mat. Sb. 189, No. 2, 159-226 (1998). Reviewer: A.Lukashov (Saratov) MSC: 47A30 41A46 41A50 41A17 46E30 26D10 PDF BibTeX XML Cite \textit{S. K. Bagdasarov}, Sb. Math. 189, No. 2, 3--72 (1998; Zbl 0914.47008); translation from Mat. Sb. 189, No. 2, 159--226 (1998) Full Text: DOI
Lorentz, G. G. Approximation of functions. Republication of the 1986 2nd ed. (English) Zbl 0996.41500 Providence, RI: AMS Chelsea Publishing. ix, 188 p. (1997). MSC: 41-01 41A10 41A50 41A05 41A25 42A10 41A65 41A46 41A63 41A40 41A36 PDF BibTeX XML Cite \textit{G. G. Lorentz}, Approximation of functions. Republication of the 1986 2nd ed. Providence, RI: AMS Chelsea Publishing (1997; Zbl 0996.41500)
Imhof, L. On the sharpness of a Jackson estimate by Ditzian-Totik. (English) Zbl 0859.41005 J. Approximation Theory 86, No. 3, 286-292 (1996). Reviewer: A.Sharma (Edmonton) MSC: 41A10 PDF BibTeX XML Cite \textit{L. Imhof}, J. Approx. Theory 86, No. 3, 286--292 (1996; Zbl 0859.41005) Full Text: DOI
Petukhov, A. P. On best-approximation polynomials in the Hausdorff metric. (English. Russian original) Zbl 0908.41015 J. Math. Sci., New York 85, No. 2, 1839-1848 (1997); translation from Zap. Nauchn. Semin. POMI 217, 130-143 (1994). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{A. P. Petukhov}, J. Math. Sci., New York 85, No. 1, 130--143 (1994; Zbl 0908.41015); translation from Zap. Nauchn. Semin. POMI 217, 130--143 (1994) Full Text: DOI EuDML
Petukhov, A. P. On polynomials of best approximation in the Hausdorff metric. (Russian. English summary) Zbl 0870.41020 Zap. Nauchn. Semin. POMI 217, 130-143 (1994). Reviewer: D.K.Ugulawa (Tbilisi) MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{A. P. Petukhov}, Zap. Nauchn. Semin. POMI 217, 130--143 (1994; Zbl 0870.41020) Full Text: EuDML
Kryakin, Yu. V. The Whitney constants are bounded by two. (English. Russian original) Zbl 0809.41010 Math. Notes 53, No. 5, 560-562 (1993); translation from Mat. Zametki 53, No. 5, 158-160 (1993). Reviewer: A.Lukashov (Saratov) MSC: 41A10 41A44 PDF BibTeX XML Cite \textit{Yu. V. Kryakin}, Math. Notes 53, No. 5, 1 (1993; Zbl 0809.41010); translation from Mat. Zametki 53, No. 5, 158--160 (1993) Full Text: DOI
Butzer, P. L.; Jansche, S.; Stens, R. L. Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. (English) Zbl 0782.41030 Approximation theory, Proc. 6th Southeast. Approximation Theory Conf., Memphis/TN (USA) 1991, Lect. Notes Pure Appl. Math. 138, 151-205 (1992). Reviewer: C.Mustăţa (Cluj-Napoca) MSC: 41A50 41A10 41A17 PDF BibTeX XML Cite \textit{P. L. Butzer} et al., Lect. Notes Pure Appl. Math. 138, 151--205 (1992; Zbl 0782.41030)
Magaril-Il’yaev, G. G. On best approximation by splines of function classes on the line. (English. Russian original) Zbl 0802.41024 Proc. Steklov Inst. Math. 194, 153-164 (1993); translation from Tr. Mat. Steklova 194, 148-159 (1992). MSC: 41A50 41A15 41A30 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev}, in: Theory and applications of differentiable functions of several variables. 14. Providence, RI: American Mathematical Society. 1 (1992; Zbl 0802.41024); translation from Tr. Mat. Steklova 194, 148--159 (1992)
Rakhmetov, N. K. Uniqueness of the polynomial of best \(L\)-approximation of discontinuous functions. (English. Russian original) Zbl 0809.41008 Math. Notes 52, No. 6, 1231-1239 (1992); translation from Mat. Zametki 52, No. 6, 89-99 (1992). MSC: 41A10 41A50 41A52 PDF BibTeX XML Cite \textit{N. K. Rakhmetov}, Math. Notes 52, No. 6, 1 (1992; Zbl 0809.41008); translation from Mat. Zametki 52, No. 6, 89--99 (1992) Full Text: DOI
Pan, K.; Saff, E. B. Best polynomial approximation with linear constraints. (English) Zbl 0762.41012 Can. J. Math. 44, No. 6, 1289-1302 (1992). MSC: 41A10 41A29 41A50 PDF BibTeX XML Cite \textit{K. Pan} and \textit{E. B. Saff}, Can. J. Math. 44, No. 6, 1289--1302 (1992; Zbl 0762.41012) Full Text: DOI
Ganzburg, M. I. Limit theorems for the best polynomial approximations in the \(L_ \infty\) metric. (English. Russian original) Zbl 0753.41027 Ukr. Math. J. 43, No. 3, 299-305 (1991); translation from Ukr. Mat. Zh. 43, No. 3, 336-342 (1991). MSC: 41A50 41A10 41A63 PDF BibTeX XML Cite \textit{M. I. Ganzburg}, Ukr. Math. J. 43, No. 3, 299--305 (1991; Zbl 0753.41027); translation from Ukr. Mat. Zh. 43, No. 3, 336--342 (1991) Full Text: DOI
Ganzburg, M. I. Limit theorems for best polynomial approximations in the \(L_{\infty}\)- metric. (Russian) Zbl 0726.41026 Ukr. Mat. Zh. 43, No. 3, 336-342 (1991). Reviewer: J.Štulc (Praha) MSC: 41A50 41A10 41A63 PDF BibTeX XML Cite \textit{M. I. Ganzburg}, Ukr. Mat. Zh. 43, No. 3, 336--342 (1991; Zbl 0726.41026) Full Text: DOI
van Wickeren, E. Weighted simultaneous approximation by algebraic projection operators. (English) Zbl 0751.41017 Acta Math. Hung. 58, No. 1-2, 69-79 (1991). Reviewer: H.R.Dowson (Glasgow) MSC: 41A28 41A36 41A50 PDF BibTeX XML Cite \textit{E. van Wickeren}, Acta Math. Hung. 58, No. 1--2, 69--79 (1991; Zbl 0751.41017) Full Text: DOI
Bartelt, M. W.; Swetits, J. J. Local Lipschitz constants and Kolushov polynomials. (English) Zbl 0771.41010 Acta Math. Hung. 57, No. 3-4, 259-263 (1991). Reviewer: S.Ogawa (Hyogo) MSC: 41A10 PDF BibTeX XML Cite \textit{M. W. Bartelt} and \textit{J. J. Swetits}, Acta Math. Hung. 57, No. 3--4, 259--263 (1991; Zbl 0771.41010) Full Text: DOI
Varma, A. K. Markoff type inequalities for curved majorants in \(L_ 2\) norm. (English) Zbl 0818.26008 Approximation theory, Proc. Conf., Kecskemét/Hung. 1990, Colloq. Math. Soc. János Bolyai 58, 689-697 (1991). MSC: 26D05 41A17 26D10 41A50 41A10 PDF BibTeX XML Cite \textit{A. K. Varma}, Colloq. Math. Soc. János Bolyai 58, 689--697 (1991; Zbl 0818.26008)
Jassim, S. K. Best one-sided approximation with algebraic polynomials. (English) Zbl 0721.41027 Serdica 16, No. 3-4, 263-269 (1990). Reviewer: Shi Ying-Guang (Beijing) MSC: 41A29 41A50 41A10 PDF BibTeX XML Cite \textit{S. K. Jassim}, Serdica 16, No. 3--4, 263--269 (1990; Zbl 0721.41027)
Eiermann, Michael; Starke, Gerhard The near-best solution of a polynomial minimization problem by the Carathéodory-Fejér method. (English) Zbl 0699.41025 Constructive Approximation 6, No. 3, 303-319 (1990). MSC: 41A50 41A10 41A29 41A25 30E10 PDF BibTeX XML Cite \textit{M. Eiermann} and \textit{G. Starke}, Constr. Approx. 6, No. 3, 303--319 (1990; Zbl 0699.41025) Full Text: DOI
Ganzburg, M. I. A lower estimate of best approximations of continuous functions. (English. Russian original) Zbl 0715.41036 Ukr. Math. J. 41, No. 7, 763-767 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 893-898 (1989). MSC: 41A50 41A10 41A30 PDF BibTeX XML Cite \textit{M. I. Ganzburg}, Ukr. Math. J. 41, No. 7, 763--767 (1989; Zbl 0715.41036); translation from Ukr. Mat. Zh. 41, No. 7, 893--898 (1989) Full Text: DOI
Ciesielski, Z. An algorithm for best approximating algebraic polynomials in \(L^ p\) over a simplex. (English) Zbl 0699.41027 Multivariate approximation theory IV, Proc. Conf., Oberwolfach/FRG 1989, ISNM 90, 95-102 (1989). Reviewer: L.Ciobanu MSC: 41A50 41A10 PDF BibTeX XML
Freund, R. On polynomial approximations to \(f_ a(z)(z-a)^{-1}\) with complex a and some applications to certain non-Hermitian matrices. (English) Zbl 0693.41009 Approximation Theory Appl. 5, No. 1, 15-31 (1989). Reviewer: A.Lukashov MSC: 41A10 41A50 30E10 15A06 15A09 PDF BibTeX XML Cite \textit{R. Freund}, Approximation Theory Appl. 5, No. 1, 15--31 (1989; Zbl 0693.41009)
Heilmann, Margareta On simultaneous approximation by optimal algebraic polynomials. (English) Zbl 0678.41022 Result. Math. 16, No. 1-2, 77-81 (1989). MSC: 41A28 41A10 PDF BibTeX XML Cite \textit{M. Heilmann}, Result. Math. 16, No. 1--2, 77--81 (1989; Zbl 0678.41022) Full Text: DOI
Xu, Shusheng Comparison between the best approximations by lacunary and ordinary polynomials. (English) Zbl 0669.41019 Approximation Theory Appl. 5, No. 1, 33-45 (1989). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{S. Xu}, Approximation Theory Appl. 5, No. 1, 33--45 (1989; Zbl 0669.41019)
Ivanov, K. G.; Saff, E. B.; Totik, V. Approximation by polynomials with locally geometric rates. (English) Zbl 0668.41006 Proc. Am. Math. Soc. 106, No. 1, 153-161 (1989). MSC: 41A10 41A25 PDF BibTeX XML Cite \textit{K. G. Ivanov} et al., Proc. Am. Math. Soc. 106, No. 1, 153--161 (1989; Zbl 0668.41006) Full Text: DOI
Chzhou Sunpin On a proof of a theorem of Hasson. (Russian) Zbl 0717.41031 Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1988, No. 3, 56-58 (1988). Reviewer: W.Müller MSC: 41A25 41A10 42A05 PDF BibTeX XML Cite \textit{Chzhou Sunpin}, Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1988, No. 3, 56--58 (1988; Zbl 0717.41031)
Ditzian, Z.; Totik, V. Remarks on Besov spaces and best polynomial approximation. (English) Zbl 0692.41008 Proc. Am. Math. Soc. 104, No. 4, 1059-1066 (1988). MSC: 41A10 41A50 41A65 41A17 41A27 26A16 PDF BibTeX XML Cite \textit{Z. Ditzian} and \textit{V. Totik}, Proc. Am. Math. Soc. 104, No. 4, 1059--1066 (1988; Zbl 0692.41008) Full Text: DOI
Babenko, V. F.; Kofanov, V. A. Nonsymmetric approximation in the mean of differentiable functions by algebraic polynomials. (Russian. English summary) Zbl 0677.41007 Anal. Math. 14, No. 3, 193-217 (1988). MSC: 41A10 PDF BibTeX XML Cite \textit{V. F. Babenko} and \textit{V. A. Kofanov}, Anal. Math. 14, No. 3, 193--217 (1988; Zbl 0677.41007) Full Text: DOI
Hristov, V. H.; Ivanov, K. G. Operator for onesided approximation by algebraic polynomials in \(L^ p([-1,1]^ d)\). (English) Zbl 0669.41007 Math. Balk., New Ser. 2, No. 4, 374-390 (1988). MSC: 41A10 PDF BibTeX XML Cite \textit{V. H. Hristov} and \textit{K. G. Ivanov}, Math. Balk., New Ser. 2, No. 4, 374--390 (1988; Zbl 0669.41007)
Kroó, András; Saff, E. B. The density of extreme points in complex polynomial approximation. (English) Zbl 0663.41027 Proc. Am. Math. Soc. 103, No. 1, 203-209 (1988). Reviewer: Z.Rubinstein MSC: 41A50 30E10 41A10 PDF BibTeX XML Cite \textit{A. Kroó} and \textit{E. B. Saff}, Proc. Am. Math. Soc. 103, No. 1, 203--209 (1988; Zbl 0663.41027) Full Text: DOI
Ganzburg, M. I. On exact constants of best polynomial approximation on the (m-1)- dimensional sphere. (English. Russian original) Zbl 0693.41022 Sov. Math. 31, No. 12, 44-52 (1987); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 12(307), 35-42 (1987). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{M. I. Ganzburg}, Sov. Math. 31, No. 12, 44--52 (1987; Zbl 0693.41022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 12(307), 35--42 (1987)
Varga, Richard S.; Carpenter, Amos J. On a conjecture of S. Bernstein in approximation theory. (English. Russian original) Zbl 0661.41005 Math. USSR, Sb. 57, 547-560 (1987); translation from Mat. Sb., Nov. Ser. 129(171), No. 4, 535-548 (1986). Reviewer: S.Cobzaş MSC: 41A10 41A25 41A44 PDF BibTeX XML Cite \textit{R. S. Varga} and \textit{A. J. Carpenter}, Math. USSR, Sb. 57, 547--560 (1987; Zbl 0661.41005); translation from Mat. Sb., Nov. Ser. 129(171), No. 4, 535--548 (1986) Full Text: DOI
Lorentz, G. G. Approximation of functions. 2nd ed. (English) Zbl 0643.41001 New York, N.Y.: Chelsea Publishing Company. IX, 188 p. (1986). MSC: 41-01 41A10 41A50 41A05 41A25 42A10 41A65 41A46 41A63 41A40 41A36 PDF BibTeX XML
Bojanov, Todor; Geshev, Lyubomir Hausdorff approximations in the classes of functions with a given modulus of continuity. (Bulgarian. English summary) Zbl 0638.41008 God. Sofij. Univ., Fak. Mat. Mekh. 72(1978), 41-45 (1986). MSC: 41A10 41A50 26A15 PDF BibTeX XML Cite \textit{T. Bojanov} and \textit{L. Geshev}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 72, 41--45 (1986; Zbl 0638.41008)
Sendov, Bl. On a theorem of H. Whitney. (English. Russian original) Zbl 0636.41015 Sov. Math., Dokl. 34, 603-606 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1296-1300 (1986). Reviewer: A.-I.Lupaş (Sibiu) MSC: 41A50 41A10 41A44 41A17 26A15 PDF BibTeX XML Cite \textit{Bl. Sendov}, Sov. Math., Dokl. 34, 603--606 (1986; Zbl 0636.41015); translation from Dokl. Akad. Nauk SSSR 291, 1296--1300 (1986)
Shevchuk, I. A. Uniform approximation of functions on an interval. (English. Russian original) Zbl 0624.41007 Math. Notes 40, 521-528 (1986); translation from Mat. Zametki 40, No. 1, 36-48 (1986). Reviewer: R.S.Dahiya MSC: 41A10 41A20 PDF BibTeX XML Cite \textit{I. A. Shevchuk}, Math. Notes 40, 521--528 (1986; Zbl 0624.41007); translation from Mat. Zametki 40, No. 1, 36--48 (1986) Full Text: DOI
Potapov, M. K. Conditions for the coincidence of certain classes of functions. (English) Zbl 0585.41004 J. Sov. Math. 33, 1127-1139 (1986). MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{M. K. Potapov}, J. Sov. Math. 33, 1127--1139 (1986; Zbl 0585.41004) Full Text: DOI
Hernández Herrera, René; López Lagomasino, Guillermo The relationship between the order of growth of an entire function and the convergence speed of the best polynomial approximation. (Spanish. English summary) Zbl 0622.41005 Rev. Cienc. Mat. 6, No. 3, 33-39 (1985). MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{R. Hernández Herrera} and \textit{G. López Lagomasino}, Rev. Cienc. Mat. 6, No. 3, 33--39 (1985; Zbl 0622.41005)
Kornejchuk, N. P. S. M. Nikol’skij and the development of investigations in the theory of approximation of functions in the USSR. (Russian) Zbl 0613.41001 Usp. Mat. Nauk 40, No. 5(245), 71-131 (1985). Reviewer: J.Albrycht MSC: 41-03 01A72 01A60 41A10 PDF BibTeX XML Cite \textit{N. P. Kornejchuk}, Usp. Mat. Nauk 40, No. 5(245), 71--131 (1985; Zbl 0613.41001)
Stojanova, Milena P. Approximation of a convex function by algebraic polynomials in \(L_ p[a,b]\) \((1<p<\infty)\). (English) Zbl 0595.41004 Serdica 11, 392-397 (1985). MSC: 41A10 41A25 PDF BibTeX XML Cite \textit{M. P. Stojanova}, Serdica 11, 392--397 (1985; Zbl 0595.41004)
Magrupov, T. M.; Turdimatov, M. M. A method for calculating elementary functions. (Russian) Zbl 0593.41027 Vopr. Vychisl. Prikl. Mat. 79, 98-104 (1985). MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{T. M. Magrupov} and \textit{M. M. Turdimatov}, Vopr. Vychisl. Prikl. Mat. 79, 98--104 (1985; Zbl 0593.41027)
Löfström, Jörgen Best approximation in \(L_ p(w)\) by algebraic polynomials. (English) Zbl 0554.41032 Stud. Sci. Math. Hung. 20, 375-394 (1985). MSC: 41A50 41A25 41A10 PDF BibTeX XML Cite \textit{J. Löfström}, Stud. Sci. Math. Hung. 20, 375--394 (1985; Zbl 0554.41032)
Macías, R. A.; Zó, F. Weighted best local \(L^ p\) approximation. (English) Zbl 0567.41011 J. Approximation Theory 42, 181-192 (1984). MSC: 41A10 41A50 PDF BibTeX XML Cite \textit{R. A. Macías} and \textit{F. Zó}, J. Approx. Theory 42, 181--192 (1984; Zbl 0567.41011) Full Text: DOI
Kofanov, V. A. Approximation in the mean of classes of differentiable functions by algebraic polynomials. (English) Zbl 0564.41003 Math. USSR, Izv. 23, 353-365 (1984). MSC: 41A10 41A17 41A50 PDF BibTeX XML Cite \textit{V. A. Kofanov}, Math. USSR, Izv. 23, 353--365 (1984; Zbl 0564.41003) Full Text: DOI
Zhou, Songping An extension of Markov’s inequality. (Chinese. English summary) Zbl 0562.41014 J. Hangzhou Univ., Nat. Sci. Ed. 11, 414-419 (1984). MSC: 41A17 41A10 41A50 PDF BibTeX XML Cite \textit{S. Zhou}, J. Hangzhou Univ., Nat. Sci. Ed. 11, 414--419 (1984; Zbl 0562.41014)
Ivanov, V. V.; Kalenchik, A. A. On the efficiency of algorithms of polynomial and fractional-rational Chebyshev approximations. (Russian) Zbl 0571.65008 Constructive function theory, Proc. int. Conf., Varna/Bulg. 1981, 72-77 (1983). Reviewer: D.Zarnadze MSC: 65D15 41A10 41A50 41A20 68Q25 PDF BibTeX XML
Ivanov, K. G. A constructive characteristic of the best algebraic approximation in \(L_ p[-1,1]\) (1\(\leq p\leq \infty)\). (English) Zbl 0564.41011 Constructive function theory, Proc. int. Conf., Varna/Bulg. 1981, 357-367 (1983). Reviewer: W.Kurc MSC: 41A50 41A10 PDF BibTeX XML
Fedorov, V. M. Approximation by polynomials on a semi-axis. (Russian) Zbl 0552.41002 Constructive function theory, Proc. int. Conf., Varna/Bulg. 1981, 181-184 (1983). Reviewer: L.Gogoladze MSC: 41A10 PDF BibTeX XML
Boyanov, B. D. An extremal problem for polynomials. (English) Zbl 0542.41001 Constructive function theory, Proc. int. Conf., Varna/Bulg. 1981, 229-233 (1983). Reviewer: S.Igari MSC: 41A10 41A50 PDF BibTeX XML
Schatte, P. On Chebyshev approximation with relative error. (English) Zbl 0541.41026 Z. Angew. Math. Mech. 63, 445-451 (1983). Reviewer: M.S.Henry MSC: 41A50 41A10 41A25 PDF BibTeX XML Cite \textit{P. Schatte}, Z. Angew. Math. Mech. 63, 445--451 (1983; Zbl 0541.41026)
Ivanov, K. G. Direct and converse theorems for the best algebraic approximation in C[- 1,1] and \(L_ p[-1,1]\). (English) Zbl 0532.41030 Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 35, 675-682 (1983). MSC: 41A50 41A10 41A27 PDF BibTeX XML
Skopina, M. A. Approximation of a function by Fourier-Jacobi sums. (English) Zbl 0516.41023 Vestn. Leningr. Univ., Math. 11, 319-328 (1983). MSC: 41A50 41A10 42C05 PDF BibTeX XML Cite \textit{M. A. Skopina}, Vestn. Leningr. Univ., Math. 11, 319--328 (1983; Zbl 0516.41023)
Dyn’kin, E. M. A constructive characterization of the Sobolev and Besov classes. (English) Zbl 0512.46037 Proc. Steklov Inst. Math. 155, 39-74 (1983). MSC: 46E35 41A50 41A10 41A17 PDF BibTeX XML Cite \textit{E. M. Dyn'kin}, Proc. Steklov Inst. Math. 155, 39--74 (1983; Zbl 0512.46037)
Ivanov, Kamen G. On a new characteristic of functions. I. (English) Zbl 0535.41030 Serdica 8, 262-279 (1982). Reviewer: C.Mustăţa MSC: 41A50 41A10 PDF BibTeX XML Cite \textit{K. G. Ivanov}, Serdica 8, 262--279 (1982; Zbl 0535.41030)
Porošenko, V. N. On approximation of discontinuous functions in L-metric. (English) Zbl 0534.41003 Anal. Math. 8, 205-214 (1982). Reviewer: G.D.Taylor MSC: 41A10 41A52 PDF BibTeX XML Cite \textit{V. N. Porošenko}, Anal. Math. 8, 205--214 (1982; Zbl 0534.41003) Full Text: DOI
Kofanov, V. A. Approximation in the mean of classes of differentiable functions by algebraic polynomials. (English. Russian original) Zbl 0521.41003 Sov. Math., Dokl. 25, 224-226 (1982); translation from Dokl. Akad. Nauk SSSR 262, 1304-1306 (1982). MSC: 41A10 41A17 41A50 PDF BibTeX XML Cite \textit{V. A. Kofanov}, Sov. Math., Dokl. 25, 224--226 (1982; Zbl 0521.41003); translation from Dokl. Akad. Nauk SSSR 262, 1304--1306 (1982)
Ivanov, K. G. On Bernstein polynomials. (English) Zbl 0512.41003 C. R. Acad. Bulg. Sci. 35, 893-896 (1982). MSC: 41A10 41A36 41A50 PDF BibTeX XML Cite \textit{K. G. Ivanov}, C. R. Acad. Bulg. Sci. 35, 893--896 (1982; Zbl 0512.41003)
Konovalov, V. N. An approximation theorem of the Jackson type for functions of several variables. (English. Russian original) Zbl 0492.41013 Ukr. Math. J. 33, 570-575 (1982); translation from Ukr. Mat. Zh. 33, 757-764 (1981). MSC: 41A10 41A17 41A50 PDF BibTeX XML Cite \textit{V. N. Konovalov}, Ukr. Math. J. 33, 570--575 (1982; Zbl 0492.41013); translation from Ukr. Mat. Zh. 33, 757--764 (1981) Full Text: DOI
Chan, K. Y.; Chen, Y. M.; Liu, M. C.; Ng, S. M. An example on strong unicity constants in trigonometric approximation. (English) Zbl 0491.42001 Proc. Am. Math. Soc. 84, 79-84 (1982). MSC: 42A10 41A10 41A50 PDF BibTeX XML Cite \textit{K. Y. Chan} et al., Proc. Am. Math. Soc. 84, 79--84 (1982; Zbl 0491.42001) Full Text: DOI
Sinwel, Herbert Friedrich Konstanten im Approximationssatz von Jackson-Timan-Teljakowskii. (German) Zbl 0479.41022 Numerical methods of approximation theory, Vol. 6, Workshop Oberwolfach 1981, ISNM, Int. Ser. Numer. Math. 59, 199-208 (1982). MSC: 41A50 41A10 41A17 PDF BibTeX XML
Kuptsov, N. P. (ed.) Numerical methods and programming. No.2. Interpolation of functions and best approximations. (Vychislitel’nye metody i programmirovanie. Vyp. 2. Interpolirovanie funktsij i najluchshie priblizheniya.) (Russian) Zbl 0665.41001 Saratov (USSR): Saratovskij Gosudarstvennyj Universitet. 105 p. R. 0.90 (1981). MSC: 41-06 00B15 41A10 PDF BibTeX XML
Stens, Rudolf Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen. (English) Zbl 0546.41009 Mathematisch-Naturwissenschaftliche Fakultät der Rheinisch- Westfälischen Technischen Hochschule Aachen. 77 S. (1981). Reviewer: H.Fiedler MSC: 41A10 41A50 41A65 PDF BibTeX XML
Dynkin, E. M. A construction characteristic of the classes of S. L. Sobolov and O. V. Besov. (Russian) Zbl 0496.46021 Tr. Mat. Inst. Steklova 155, 41-76 (1981). MSC: 46E35 41A10 41A50 PDF BibTeX XML Cite \textit{E. M. Dynkin}, Tr. Mat. Inst. Steklova 155, 41--76 (1981; Zbl 0496.46021)
Motornyj, V. P. Approximation of functions in the mean by Fourier-Legendre sums. (English. Russian original) Zbl 0491.42026 Sov. Math., Dokl. 24, 33-36 (1981); translation from Dokl. Akad. Nauk SSSR 259, 39-42 (1981). MSC: 42C10 41A30 33C45 46E35 PDF BibTeX XML Cite \textit{V. P. Motornyj}, Sov. Math., Dokl. 24, 33--36 (1981; Zbl 0491.42026); translation from Dokl. Akad. Nauk SSSR 259, 39--42 (1981)
Ivanov, K. G. Some characterizations of the best algebraic approximation in \(L^ p[- 1,1]\) (\(1 \leq p \leq \infty\)). (English) Zbl 0488.41025 C. R. Acad. Bulg. Sci. 34, 1229-1232 (1981). MSC: 41A50 41A25 41A10 26A15 41A35 PDF BibTeX XML Cite \textit{K. G. Ivanov}, C. R. Acad. Bulg. Sci. 34, 1229--1232 (1981; Zbl 0488.41025)
Nicolcheva, M. G. Parametric approximation of convex functions. (English) Zbl 0486.41005 Approximation and function spaces, Proc. int. Conf., Gdansk 1979, 518-526 (1981). MSC: 41A10 41A25 PDF BibTeX XML
Bartelt, Martin W.; Schmidt, Darrell On Poreda’s problem on the strong unicity constants. (English) Zbl 0478.41024 J. Approximation Theory 33, 69-79 (1981). MSC: 41A52 41A10 PDF BibTeX XML Cite \textit{M. W. Bartelt} and \textit{D. Schmidt}, J. Approx. Theory 33, 69--79 (1981; Zbl 0478.41024) Full Text: DOI